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CLASSES MINIMALES DE RÉSEAUX ET RÉTRACTIONS GÉOMÉTRIQUES ÉQUIVARIANTES DANS LES ESPACES SYMÉTRIQUES

Published online by Cambridge University Press:  30 October 2001

CHRISTOPHE BAVARD
CHRISTOPHE BAVARD
Affiliation:
Mathématiques Pures de Bordeaux, UMR 5467 CNRS, Université Bordeaux-I, 351 cours de la Libération, F-33405 Talence Cedex, France
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Abstract

Equivariant and cocompact retractions of certain symmetric spaces are constructed. These retractions are defined using the natural geometry of symmetric spaces and in relation to the theory of lattices of euclidean space. The following cases are considered: the symmetric space corresponding to lattices endowed with a finite group action, from which is obtained some information relating to the classification problem of these lattices, and the Siegel space Sp2g(R)/Ug, for which a natural Sp2g(Z)-equivariant cocompact retract of codimension 1 is obtained.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 2 , October 2001 , pp. 275 - 286
Copyright
The London Mathematical Society 2001

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